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New AP6 record

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  • mikeoakes2
    Here are 2 new AP6s at 3004 digits:- (1020460444+21411611*n)*6977#+1 and (1076079684+8274581*n)*6977#+1 are prime for n=0..5 All confirmed prime with PFGW -tc
    Message 1 of 39 , May 22, 2010
      Here are 2 new AP6s at 3004 digits:-

      (1020460444+21411611*n)*6977#+1
      and
      (1076079684+8274581*n)*6977#+1
      are prime for n=0..5

      All confirmed prime with PFGW -tc

      The first, having the larger 6th term, is the new record.

      Input/output statistics:-
      Numbers tested by NewPGen: k*6977#+1 for 1*10^9<k<=2*10^9
      NewPGen reduced these (by sieving with all primes < 10^13) to: 3.0*10^8
      Candidates checked by PFGW before AP6s found: 3.4*10^7
      PRP's (AP1s) found by PFGW: 260015
      AP5s: 92
      AP6s: 0

      Both AP6s were found by extending all the AP5s upwards.
      At most one was to be expected.
      Poisson seems to be in a good mood these days (cf. Ken's and David's recent posts)!

      Run-time statistics:-
      NewPGen: 71 GHz-days
      PFGW: 312 GHz-days
      Pascal program to find AP's: 10 GHz-mins

      According to my
      http://tech.groups.yahoo.com/group/primeform/message/10268
      Ken's existing 2153-digit record had a "score" of 76.746.
      This one scores 80.077, which puts it into 8th position overall.
      Over to you, Ken:-)

      -Mike Oakes
    • djbroadhurst
      ... Congrats to Mike for two AP6 chains. I completed my AP4 trawl at (about) 12050 decimal digits. Poisson expectation: 3.1 AP4 chains. Found: 3 chains. So I
      Message 39 of 39 , May 23, 2010
        --- In primeform@yahoogroups.com,
        "mikeoakes2" <mikeoakes2@...> wrote:

        > Poisson seems to be in a good mood these days
        > (cf. Ken's and David's recent posts)!

        Congrats to Mike for two AP6 chains.

        I completed my AP4 trawl at (about) 12050 decimal digits.
        Poisson expectation: 3.1 AP4 chains.
        Found: 3 chains.

        So I ain't complaining :-)

        David
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